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Finding the Fourth Proportional to 52.55, 78.86 and 23.66

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Solution

The fourth proportional to 52.55, 78.86 and 23.66 is: 35.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.55 : 78.86 = 23.66 : x
  2. Step 2: Convert to fraction form
    52.55/78.86 = 23.66/x
  3. Step 3: Cross multiply
    52.55x = 78.86 × 23.66
  4. Step 4: Simplify right side
    52.55x = 1,865.32
  5. Step 5: Solve for x
    x = 1,865.32/52.55
  6. Step 6: Final answer
    x = 35.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.